Bagwell was born on December 15, 1914, in Pickens County, Georgia. She married chemist and teacher Leland Horace Bagwell,[b] sometime after 1930. They had two children, David Leland Bagwell[c] and Thomas Nathan Bagwell. Leland was the founder and CEO of American Proteins, founded in 1949 as the North Georgia Rendering Company; after his death in 1972 she became the company's chairman of the board and co-owner and ran it alongside their son, Tommy Bagwell. American Proteins would become the largest poultry renderer in the country before being purchased by Tyson Foods in 2018 for $850million.[3][4] Bagwell never took a salary for her work.
Despite not being an alumna, Bagwell was a strong supporter of Kennesaw State University, where she served as a trustee for 18 years, was in charge of the KSU Foundation's Special Projects Committee, and in 1997 received the first honorary doctorate of humane letters bestowed by the school.[5] In 1996,[6] the Bagwell family-owned American Proteins donated $2million worth of land, 680 acres (280 ha) in Bartow County, to the KSU Foundation,[7] its largest gift at the time; the university's Bagwell College of Education[d] is named in both her and her husband's honor,[8] and the KSU Foundation's Bagwell Medal for Distinguished Service, established in 1991,[9] is named after Clarice.